Analysis of algorithms efficiency in the information system of logical and mathematical modeling

The article carries out an analysis of the automated system of logical and mathematical modeling of dynamic systems, which uses the apparatus of functional grammars in order to increase the efficiency of its work. We consider the structure, parameters, and main methods of operation of the information system that performs logical inference for solving direct and inverse problems of mathematical modeling, when it is implemented in a functional programming language. The article presents a comparative analysis of the efficiency of implementing functional grammars method in the programming languages Lisp and Python. We have given the recommendations on the methods for further analysis and optimization of system algorithms in imperative programming languages.